9105264 has 80 divisors (see below), whose sum is σ = 29879040. Its totient is φ = 2600640.

The previous prime is 9105247. The next prime is 9105277. The reversal of 9105264 is 4625019.

9105264 = T₂₅₁ + T₂₅₂ + ... + T₄₁₂.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1519 + ... + 4529.

It is an arithmetic number, because the mean of its divisors is an integer number (373488).

Almost surely, 2^9105264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9105264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14939520).

9105264 is an abundant number, since it is smaller than the sum of its proper divisors (20773776).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

9105264 is a wasteful number, since it uses less digits than its factorization.

9105264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3035 (or 3023 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 9105264 is about 3017.4929991634. The cubic root of 9105264 is about 208.8161963919.

It can be divided in two parts, 9 and 105264, that multiplied together give a triangular number (947376 = T₁₃₇₆).

The spelling of 9105264 in words is "nine million, one hundred five thousand, two hundred sixty-four".